Manitoba

5.N Number

• Develop number sense.

  • 5.N.1 Represent and describe whole numbers to 1,000,000.

    • Expanded form up to 100 000 (5-A.1)
    • Expanded form up to 1 000 000 (5-A.2)
    • Place value up to 100 000 (5-A.3)
    • Place value up to 1 000 000 (5-A.4)
    • Relationship between place values (5-A.5)
    • Convert between place values (5-A.6)
    • Word names for numbers up to 100 000 (5-A.7)
    • Word names for numbers up to 1 000 000 (5-A.8)
    • Spell word names for numbers up to 100 000 (5-A.9)
    • Spell word names for numbers up to 1 000 000 (5-A.10)

  • 5.N.2 Apply estimation strategies, including

    • 5.N.2.a front-end rounding in problem-solving contexts.

      • Estimate sums and differences: word problems (5-B.15)
      • Estimate products: word problems (5-C.12)

    • 5.N.2.b compensation in problem-solving contexts.

    • 5.N.2.c compatible numbers in problem-solving contexts.

  • 5.N.3 Apply mental math strategies to determine multiplication and related division facts to 81 (9 × 9).

    • Multiplication facts to 10 (5-C.1)
    • Division facts to 10 (5-D.1)
    • Division facts to 10: word problems (5-D.2)
    • Relate multiplication and division (5-D.23)

  • 5.N.4 Apply mental mathematics strategies for multiplication, such as

    • 5.N.4.a annexing then adding zeros.

      • Multiplication patterns over increasing place values (5-C.5)
      • Multiply numbers ending in zeroes (5-C.6)
      • Multiply numbers ending in zeroes: word problems (5-C.7)

    • 5.N.4.b halving and doubling.

    • 5.N.4.c using the distributive property.

      • Properties of multiplication (5-C.8)
      • Multiply using properties (5-C.9)

  • 5.N.5 Demonstrate an understanding of multiplication (1- and 2-digit multipliers and up to 4-digit mulitplicands), concretely, pictorially, and symbolically by

    • 5.N.5.a using personal strategies to solve problems.

      • Multiply 2-digit numbers by 2-digit numbers using area models I (5-C.13)
      • Multiply 2-digit numbers by 2-digit numbers using area models II (5-C.14)

    • 5.N.5.b using the standard algorithm to solve problems.

      • Multiply by 1-digit numbers (5-C.3)
      • Multiply by 1-digit numbers: word problems (5-C.4)
      • Multiply 2-digit numbers by 2-digit numbers: complete the missing steps (5-C.15)
      • Multiply 2-digit numbers by 2-digit numbers (5-C.16)
      • Multiply 2-digit numbers by 2-digit numbers: word problems (5-C.17)
      • Multiply 3-digit numbers by 2-digit numbers (5-C.22)
      • Multiply 3-digit numbers by 2-digit numbers: word problems (5-C.23)

    • 5.N.5.c estimating products to solve problems.

      • Estimate products (5-C.11)
      • Estimate products: word problems (5-C.12)

  • 5.N.6 Demonstrate an understanding of division (1- and 2-digit divisors and up to 4-digit dividends), concretely, pictorially, and symbolically, and interpret remainders by

    • 5.N.6.a using personal strategies to solve problems.

      • Divide by 2-digit numbers using models (5-D.14)

    • 5.N.6.b using the standard algorithm to solve problems.

      • Divide by 1-digit numbers (5-D.5)
      • Divide by 1-digit numbers: word problems (5-D.6)
      • Divide by 1-digit numbers: interpret remainders (5-D.7)
      • Divide by 2-digit numbers using partial products (5-D.15)
      • Divide 2-digit and 3-digit numbers by 2-digit numbers (5-D.16)
      • Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems (5-D.17)
      • Divide 4-digit numbers by 2-digit numbers (5-D.18)
      • Divide 4-digit numbers by 2-digit numbers: remainders as decimals (5-D.19)
      • Divide 4-digit numbers by 2-digit numbers: word problems (5-D.20)
      • Complete the division sentence: 2-digit divisors (5-D.24)

    • 5.N.6.c estimating quotients to solve problems.

      • Estimate quotients (5-D.12)
      • Estimate quotients: word problems (5-D.13)

  • 5.N.7 Demonstrate an understanding of fractions by using concrete and pictorial representations to

    • 5.N.7.a create sets of equivalent fractions.

      • Find equivalent fractions using area models (5-O.1)
      • Graph equivalent fractions on number lines (5-O.2)
      • Equivalent fractions (5-O.3)
      • Patterns of equivalent fractions (5-O.4)
      • Write fractions in lowest terms (5-O.5)

    • 5.N.7.b compare fractions with like and unlinke denominators.

      • Graph and compare fractions on number lines (5-P.1)
      • Benchmark fractions (5-P.2)
      • Compare fractions using benchmarks (5-P.3)
      • Compare fractions (5-P.4)
      • Compare fractions and mixed numbers (5-P.5)
      • Order fractions with like denominators (5-P.6)
      • Order fractions with like numerators (5-P.7)
      • Order fractions with unlike denominators (5-P.8)
      • Order fractions review (5-P.9)

  • 5.N.8 Describe and represent decimals (tenths, hundredths, and thousandths), concretely, pictorially, and symbolically.

    • What decimal number is illustrated? (5-G.1)
    • Model decimals and fractions (5-G.2)
    • Decimal number lines (5-G.8)
    • Understanding decimals expressed in words: up to thousandths (5-H.1)
    • Place values in decimal numbers up to thousandths (5-H.2)
    • Relationship between decimal place values (5-H.3)
    • Expanded form of decimals up to thousandths (5-H.4)

  • 5.N.9 Relate decimals to fractions (tenths, hundredths, and thousandths).

    • Convert fractions to decimals: up to thousandths (5-H.10)
    • Convert decimals to fractions: up to thousandths (5-H.11)
    • Convert decimals between standard and expanded form using fractions: up to thousandths (5-H.12)

  • 5.N.10 Compare and order decimals (tenths, hundredths, thousandths) by using

    • 5.N.10.a benchmarks.

      • Compare decimals on number lines (5-G.10)

    • 5.N.10.b place value.

      • Compare decimals using grids (5-G.9)
      • Compare decimal numbers up to hundredths (5-G.11)
      • Put decimals in order: up to hundredths (5-G.12)
      • Compare decimal numbers up to thousandths (5-H.7)
      • Put decimals in order: up to thousandths (5-H.8)
      • Compare, order and round decimals: word problems (5-H.9)

    • 5.N.10.c equivalent decimals.

      • Equivalent decimals up to hundredths (5-G.6)
      • Equivalent decimals up to thousandths (5-H.5)

  • 5.N.11 Demonstrate an understanding of addition and subtraction of decimals (to thousandths), concretely, pictorially, and symbolically, by

    • 5.N.11.a using personal strategies.

      • Choose decimals with a particular sum or difference: up to hundredths (5-I.6)
      • Choose decimals with a particular sum or difference: up to thousandths (5-J.5)

    • 5.N.11.b using the standard algorithms.

      • Add and subtract decimal numbers up to hundredths (5-I.4)
      • Complete the decimal addition or subtraction sentence: up to hundredths (5-I.7)
      • Inequalities with decimal addition and subtraction: up to hundredths (5-I.8)
      • Add decimal numbers up to thousandths (5-J.1)
      • Subtract decimal numbers up to thousandths (5-J.2)
      • Add and subtract decimal numbers up to thousandths (5-J.3)
      • Complete the decimal addition or subtraction sentence: up to thousandths (5-J.6)
      • Add and subtract money amounts (5-M.1)

    • 5.N.11.c using estimation.

      • Estimate sums and differences of decimals using rounding: up to hundredths (5-I.9)
      • Estimate sums and differences of decimals using benchmarks (5-I.10)
      • Estimate sums and differences of decimals using rounding: up to thousandths (5-J.8)

    • 5.N.11.d solving problems.

      • Add and subtract decimals up to hundredths: word problems (5-I.5)
      • Add and subtract decimals up to thousandths: word problems (5-J.4)
      • Add and subtract money: word problems (5-M.2)
      • Price lists with addition and subtraction (5-M.3)

5.PR Patterns and Relations

• Use patterns to describe the world and solve problems.

  • 5.PR.1 Determine the pattern rule to make predictions about subsequent elements.

    • Use a rule to complete a number sequence (5-Z.5)
    • Compare number patterns (5-Z.6)
    • Identify mistakes in number patterns (5-Z.7)
    • Complete an increasing number sequence (5-Z.8)

• Represent algebraic expressions in multiple ways.

  • 5.PR.2 Solve problems involving single-variable (expressed as symbols or letters), one-step equations with whole-number coefficients, and whole-number solutions.

    • Does x satisfy an equation? (5-CC.1)
    • Which value makes the equation true? (5-CC.2)
    • Model and solve equations using algebra tiles (5-CC.4)
    • Write and solve equations that represent diagrams (5-CC.5)
    • Solve addition and subtraction equations with whole numbers (5-CC.6)
    • Solve multiplication and division equations with whole numbers (5-CC.7)
    • Solve equations with whole numbers (5-CC.8)
    • Write a one-step equation: word problems (5-CC.9)
    • Which word problem matches the one-step equation? (5-CC.10)

5.SS Shape and Space

• Use direct or indirect measurement to solve problems.

  • 5.SS.1 Design and construct different rectangles given eiter perimeter or area, or both (whole numbers), and draw conclusions.

    • Rectangles: relationship between perimeter and area (5-NN.12)

  • 5.SS.2 Demonstrate an understanding of measuring length (mm) by

    • 5.SS.2.a selecting and justifying referents for the unit mm

      • Which metric unit of length is appropriate? (5-II.1)

    • 5.SS.2.b modelling and describing the relationship between mm and cm units, and between mm and m units.

      • Compare and convert metric units of length (5-II.2)

  • 5.SS.3 Demonstrate and understanding of volume by

    • 5.SS.3.a selecting and justifying referents for cm³ or m³.

    • 5.SS.3.b estimating volume by using referents for cm³ or m³.

    • 5.SS.3.c measuring and recording volume (cm³ or m³).

      • Volume of rectangular prisms made of unit cubes (5-NN.13)
      • Volume of irregular figures made of unit cubes (5-NN.14)
      • Volume of cubes and rectangular prisms (5-NN.15)

    • 5.SS.3.d constructing rectangular prisms for a given volume.

  • 5.SS.4 Demonstrate an understanding of capacity by

    • 5.SS.4.a describing the relationship between mL and L.

      • Compare and convert metric units of capacity (5-II.6)

    • 5.SS.4.b selecting and justifying referents for mL or L units.

    • 5.SS.4.c estimating capacity by usinf referents for mL or L.

      • Which metric unit of capacity is appropriate? (5-II.5)

    • 5.SS.4.d measuring and recording capacity (mL or L).

• Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.

  • 5.SS.5 Describe and provide examples of edges and faces of 3-D objects, and sides of 2-D shapes that are

    • 5.SS.5.a parallel.

      • Parallel, perpendicular and intersecting lines (5-JJ.5)
      • Parallel sides in quadrilaterals (5-KK.4)

    • 5.SS.5.b intersecting.

      • Parallel, perpendicular and intersecting lines (5-JJ.5)

    • 5.SS.5.c perpendicular.

      • Parallel, perpendicular and intersecting lines (5-JJ.5)

    • 5.SS.5.d vertical.

    • 5.SS.5.e horizontal.

  • 5.SS.6 Identify and sort quadrilaterals, including

    • 5.SS.6.a rectangles according to their characteristics.

      • Identify rectangles (5-KK.7)
      • Classify quadrilaterals (5-KK.9)
      • Pick all the names for a quadrilateral (5-KK.10)
      • Identify the relationships between quadrilaterals (5-KK.12)
      • Describe relationships among quadrilaterals (5-KK.13)

    • 5.SS.6.b squares according to their characteristics.

      • Classify quadrilaterals (5-KK.9)
      • Pick all the names for a quadrilateral (5-KK.10)
      • Identify the relationships between quadrilaterals (5-KK.12)
      • Describe relationships among quadrilaterals (5-KK.13)

    • 5.SS.6.c trapezoids according to their characteristics.

      • Identify trapezoids (5-KK.6)
      • Classify quadrilaterals (5-KK.9)
      • Pick all the names for a quadrilateral (5-KK.10)
      • Identify the relationships between quadrilaterals (5-KK.12)
      • Describe relationships among quadrilaterals (5-KK.13)

    • 5.SS.6.d parallelograms according to their characteristics.

      • Identify parallelograms (5-KK.5)
      • Classify quadrilaterals (5-KK.9)
      • Pick all the names for a quadrilateral (5-KK.10)
      • Identify the relationships between quadrilaterals (5-KK.12)
      • Describe relationships among quadrilaterals (5-KK.13)

    • 5.SS.6.e rhombuses according to their characteristics.

      • Identify rhombuses (5-KK.8)
      • Classify quadrilaterals (5-KK.9)
      • Pick all the names for a quadrilateral (5-KK.10)
      • Identify the relationships between quadrilaterals (5-KK.12)
      • Describe relationships among quadrilaterals (5-KK.13)

• Describe and analyze position and motion of objects and shapes.

  • 5.SS.7 Perform a single transformation (translation, rotation, or reflection) of a 2-D shape and draw and describe the image.

    • Reflection, rotation and translation (5-LL.3)

  • 5.SS.8 Identify a single transformation (translation, rotation, or reflection) of 2-D shapes.

    • Reflection, rotation and translation (5-LL.3)

5.SP Statistics and Probability

• Collect, display, and analyze data to solve problems.

  • 5.SP.1 Differentiate between first-hand and second-hand data.

  • 5.SP.2 Construct and interpret double bar graphs to draw conclusions.

    • Interpret double bar graphs (5-FF.7)
    • Complete double bar graphs (5-FF.8)

• Uses experimental or theoretical probabilities to represent and solve problems involving uncertainty.

  • 5.SP.3 Describe the likelihood of a single outcome occurring, using words such as

    • 5.SP.3.a impossible.

      • Understanding probability (5-GG.1)

    • 5.SP.3.b possible.

      • Understanding probability (5-GG.1)

    • 5.SP.3.c certain.

      • Understanding probability (5-GG.1)

  • 5.SP.4 Compare the likelihood of two possible outcomes occurring, using words such as

    • 5.SP.4.a less likely.

      • Understanding probability (5-GG.1)

    • 5.SP.4.b equally likely.

      • Understanding probability (5-GG.1)

    • 5.SP.4.c more likely.

      • Understanding probability (5-GG.1)